Placing limits on the stochastic gravitational-wave background using European Pulsar Timing Array data

Abstract

Direct detection of low-frequency gravitational waves ($10^{-9}-10^{-8}$ Hz) is the main goal of pulsar timing array (PTA) projects. One of the main targets for the PTAs is to measure the stochastic background of gravitational waves (GWB) whose characteristic strain is expected to approximately follow a power-law of the form $h_c(f)=A(f/{yr}^{-1}{)}^{\alpha }$, where $f$ is the gravitational-wave frequency. In this paper we use the current data from the European PTA to determine an upper limit on the GWB amplitude $A$ as a function of the unknown spectral slope $\alpha$ with a Bayesian algorithm, by modelling the GWB as a random Gaussian process. For the case $\alpha =-2/3$, which is expected if the GWB is produced by supermassive black-hole binaries, we obtain a 95% confidence upper limit on $A$ of $6\times 10^{-15}$, which is 1.8 times lower than the 95% confidence GWB limit obtained by the Parkes PTA in 2006. Our approach to the data analysis incorporates the multi-telescope nature of the European PTA and thus can serve as a useful template for future intercontinental PTA collaborations.

14 pages, 8 figures, 3 tables, mnras accepted

References in corpus (19)

• TEMPO2, a new pulsar timing package. I: Overview
• Gravitational Wave Experiments and Early Universe Cosmology
• The international pulsar timing array project: using pulsars as a gravitational wave detector
• Gravitational radiation from cosmic (super)strings: bursts, stochastic background, and observational windows
• The stochastic gravitational-wave background from massive black hole binary systems: implications for observations with Pulsar Timing Arrays
• Self-Regulated Growth of Supermassive Black Holes in Galaxies as the Origin of the Optical and X-ray Luminosity Functions of Quasars
• Gravitational Waves Probe the Coalescence Rate of Massive Black Hole Binaries
• Upper bounds on the low-frequency stochastic gravitational wave background from pulsar timing observations: current limits and future prospects
• Gravitational-Wave Stochastic Background from Kinks and Cusps on Cosmic Strings
• Placing limits on the stochastic gravitational-wave background using European Pulsar Timing Array data
• Detecting the stochastic gravitational wave background using pulsar timing
• Optimal strategies for gravitational wave stochastic background searches in pulsar timing data
• On measuring the gravitational-wave background using Pulsar Timing Arrays
• Constraints on cosmic string tension imposed by the limit on the stochastic gravitational wave background from the European Pulsar Timing Array
• Generic tests of the existence of the gravitational dipole radiation and the variation of the gravitational constant
• Masses, Parallax, and Relativistic Timing of the PSR J1713+0747 Binary System
• Relic Gravitational Waves and Cosmology
• Gravitational wave detection using pulsars: status of the Parkes Pulsar Timing Array project
• Status Update of the Parkes Pulsar Timing Array

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